Stone game, C/C++ Programming

Assignment Help:
A game is played with three piles of stones and two players. At her turn, a player removes one or more stones from the piles. However, if she takes stones from more than one pile, she must remove the same number of stones from each of the selected piles.
In other words, the player chooses some N>0 and removes:
? N stones from any single pile; or ? N stones from each of any two piles (2N total); or ? N stones from each of the three piles (3N total).
The player taking the last stone(s) wins the game.
A winning configuration is one where the first player can force a win. For example, (0,0,13), (0,11,11) and (5,5,5) are winning configurations because the first player can immediately remove all stones.
A losing configuration is one where the second player can force a win, no matter what the first player does. For example, (0,1,2) and (1,3,3) are losing configurations: any legal move leaves a winning configuration for the second player. Consider all losing configurations (xi,yi,zi) where xi = yi = zi = 100. We can verify that S(xi+yi+zi) = 173895 for these.
Find S(xi+yi+zi) where (xi,yi,zi) ranges over the losing configurations with xi = yi = zi = 1000.

Related Discussions:- Stone game

Dynamic memory management, C and C++ require explicit dynamic memory manage...

C and C++ require explicit dynamic memory management, using new and delete or malloc() and free(). It is helpful to understand where variables exist (usually the stack or the he

C++, Write C++ code for calculating the time table

Write C++ code for calculating the time table

Explain the working of strcpy function, Explain the Working of strcpy Funct...

Explain the Working of strcpy Function? strcpy() : This function is meant to use to copy one string to another. The strcpy function as well accepts two strings as arguments.

Psudo code for interrupt handler , The rPeANUt simulator provides buffering...

The rPeANUt simulator provides buffering of the characters that are typed into the terminal. However, this would generally not be the case so if the program did not consume a chara

Explain the changing field width, Changing Field width The printf() and...

Changing Field width The printf() and scanf() functions from the standard library, use width specifier for controlling the width of its output . Similarly, the ostream class al

Project, Project Overview A certain financial institution (bank) wishes to ...

Project Overview A certain financial institution (bank) wishes to promote its new business products/services by conducting road shows in rural areas. Their aim is to encourage peop

Destruction of local object, Need assignment help What's the order that ...

Need assignment help What's the order that local objects are destructed?

C program for find even & odd no.s in the array , C Program for FIND EVEN &...

C Program for FIND EVEN & ODD NO.S IN THE ARRAY #include stdio.h> #include string.h> #include conio.h> void main() {           int i=0,j=0, l_e[100],l_o[100];

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd